\relax 
\providecommand\HyperFirstAtBeginDocument{\AtBeginDocument}
\HyperFirstAtBeginDocument{\ifx\hyper@anchor\@undefined
\global\let\oldcontentsline\contentsline
\gdef\contentsline#1#2#3#4{\oldcontentsline{#1}{#2}{#3}}
\global\let\oldnewlabel\newlabel
\gdef\newlabel#1#2{\newlabelxx{#1}#2}
\gdef\newlabelxx#1#2#3#4#5#6{\oldnewlabel{#1}{{#2}{#3}}}
\AtEndDocument{\ifx\hyper@anchor\@undefined
\let\contentsline\oldcontentsline
\let\newlabel\oldnewlabel
\fi}
\fi}
\global\let\hyper@last\relax 
\gdef\HyperFirstAtBeginDocument#1{#1}
\providecommand\HyField@AuxAddToFields[1]{}
\@writefile{toc}{\contentsline {section}{\numberline {1}Problem 1}{2}{section.1}}
\newlabel{sec:problem_1}{{1}{2}{Problem 1\relax }{section.1}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {1.1}CPA}{2}{subsection.1.1}}
\@writefile{toc}{\contentsline {subsection}{\numberline {1.2}CCA-1}{2}{subsection.1.2}}
\@writefile{toc}{\contentsline {subsection}{\numberline {1.3}CCA-2}{4}{subsection.1.3}}
\@writefile{toc}{\contentsline {section}{\numberline {2}Problem 2}{4}{section.2}}
\newlabel{sec:problem_2}{{2}{4}{Problem 2\relax }{section.2}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {2.1}Part a: Encrypt-and-MAC}{4}{subsection.2.1}}
\@writefile{toc}{\contentsline {subsection}{\numberline {2.2}Part b: MAC-then-Encrypt}{5}{subsection.2.2}}
\@writefile{toc}{\contentsline {subsection}{\numberline {2.3}Part c: Encrypt-then-MAC}{5}{subsection.2.3}}
\@writefile{toc}{\contentsline {section}{\numberline {3}Problem 3}{6}{section.3}}
\newlabel{sec:problem_3}{{3}{6}{Problem 3\relax }{section.3}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {3.1}Case 1: $(m', \sigma ')$}{7}{subsection.3.1}}
\@writefile{toc}{\contentsline {subsection}{\numberline {3.2}Case 2: $(m, \sigma ')$}{7}{subsection.3.2}}
\@writefile{toc}{\contentsline {section}{\numberline {4}Problem 4}{7}{section.4}}
\newlabel{sec:problem_4}{{4}{7}{Problem 4\relax }{section.4}{}}
\@writefile{toc}{\contentsline {subsection}{\numberline {4.1}Part a}{8}{subsection.4.1}}
\@writefile{toc}{\contentsline {subsection}{\numberline {4.2}Part b}{8}{subsection.4.2}}
\@writefile{toc}{\contentsline {subsection}{\numberline {4.3}Part c}{8}{subsection.4.3}}
\@writefile{toc}{\contentsline {section}{\numberline {5}Problem 5}{8}{section.5}}
\newlabel{sec:problem_5}{{5}{8}{Problem 5\relax }{section.5}{}}
\@writefile{toc}{\contentsline {section}{\numberline {6}Problem 6 (Bonus assigned in class)}{9}{section.6}}
\newlabel{sec:problem_6}{{6}{9}{Problem 6 (Bonus assigned in class)\relax }{section.6}{}}
